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arXiv · 1012.3906

Bumpy Riemannian metrics and closed parametrized minimal surfaces in Riemannian manifolds

John Douglas Moore
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Abstract

This article proves that if M is a smooth manifold of dimension at least four, then for generic choice of metric on M, all prime parametrized minimal surfaces in M are free of branch points and lie on nondegenerate critical submanifolds for the two-variable energy function which have the same dimension as the group of complex automorphisms of the domain Riemann surface.

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John Douglas Moore. 2010-12-17. Bumpy Riemannian metrics and closed parametrized minimal surfaces in Riemannian manifolds. https://arxiv.org/abs/1012.3906

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